You are told 3 things. 1. That there are two objects with equal masses. 2. Both objects are in motion. 3. One object has a greater kinetic energy than the other. How is this possible?

This situation is possible if the two objects have different velocities. Kinetic energy is directly proportional to the velocity of an object, and since both objects have equal masses, the one with greater kinetic energy must have a higher velocity. Therefore, despite having equal masses, one object can have a greater kinetic energy than the other if it is moving at a higher speed.